
A pair \((A, R)\)  consisting of an associative algebra \(A\)  and a Rota-Baxter operator \(R\)  is called a Rota-Baxter algebra. The notion of Rota-Baxter bimodules over a Rota-Baxter algebra was introduced by Guo and Lin in [1]}. Recently, Wang and Zhou [2]} defined the cohomology of a Rota-Baxter algebra with coefficients in a Rota-Baxter bimodule. Such cohomology is closely related to abelian extensions and deformations of Rota-Baxter algebras. See [3]} for more details about Rota-Baxter operators.
